OFFSET
0,1
EXAMPLE
0.70350607643066243...
MAPLE
Digits:= 140:
v:= convert(fsolve( (1-r)^(2*r-1) = r^(2*r), r=1/2), string):
seq(parse(v[n+2]), n=0..120); # Alois P. Heinz, Dec 12 2012
MATHEMATICA
RealDigits[r/.FindRoot[(1-r)^(2*r-1)==r^(2*r), {r, 1/2}, WorkingPrecision->250], 10, 200][[1]]
PROG
(PARI) solve(x=.7, 1, (1-x)^(2*x-1) - x^(2*x)) \\ Charles R Greathouse IV, Apr 25 2016
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Dec 12 2012
STATUS
approved